What is 7/6 of 95?

How to calculate 7/6 of 95?

1. Multiply the whole number by the numerator of the fraction: 95 × 7 = 665
2. Divide this result by denominator of the fraction: 665/6 = 110.83333333333

Since 665/6 is an improper fraction, the result could also be expressed as a mixed number: 110 5/6

How does it work?

The principle behind finding a fraction of a number, such as 7/6 of 95, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{7}{6}=\frac{x}{95}$ (where x represents 7/6 of 95)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $7\times 95=6x$
2. Which gives: $665=6x$
3. Divide both sides by 6 to isolate x: $\frac{665}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{665}{6}=x$

Thus, 7/6 of 95 is equal to 665/6 (or 110.83333333333 in its decimal form).